Finding the Fourth Proportional to 5,111.60, 7,667.42 and 1,413.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.60 : 7,667.42 = 1,413.72 : x
2. Step 2: Convert to fraction form
   5,111.60/7,667.42 = 1,413.72/x
3. Step 3: Cross multiply
   5,111.60x = 7,667.42 × 1,413.72
4. Step 4: Simplify right side
   5,111.60x = 10,839,577.93
5. Step 5: Solve for x
   x = 10,839,577.93/5,111.60
6. Step 6: Final answer
   x = 2,120.59